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226924416 = 273443509
BaseRepresentation
bin11011000011010…
…01011110000000
3120210222221210000
431201221132000
5431043040131
634303440000
75423553135
oct1541513600
9523887700
10226924416
11107102744
1263bb6000
1338023404
14221d058c
1514dc6ce6
hexd869780

226924416 has 160 divisors (see below), whose sum is σ = 692386200. Its totient is φ = 73737216.

The previous prime is 226924393. The next prime is 226924427. The reversal of 226924416 is 614429622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 445570 + ... + 446078.

Almost surely, 2226924416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346193100).

226924416 is an abundant number, since it is smaller than the sum of its proper divisors (465461784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226924416 is an equidigital number, since it uses as much as digits as its factorization.

226924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 557 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 226924416 is about 15064.0106213452. The cubic root of 226924416 is about 609.9493069044.

The spelling of 226924416 in words is "two hundred twenty-six million, nine hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 216 258 288 324 344 384 387 432 509 516 576 648 688 774 864 1018 1032 1152 1161 1296 1376 1527 1548 1728 2036 2064 2322 2592 2752 3054 3096 3456 3483 4072 4128 4581 4644 5184 5504 6108 6192 6966 8144 8256 9162 9288 10368 12216 12384 13743 13932 16288 16512 18324 18576 21887 24432 24768 27486 27864 32576 36648 37152 41229 43774 48864 49536 54972 55728 65152 65661 73296 74304 82458 87548 97728 109944 111456 131322 146592 148608 164916 175096 195456 196983 219888 222912 262644 293184 329832 350192 393966 439776 445824 525288 586368 590949 659664 700384 787932 879552 1050576 1181898 1319328 1400768 1575864 1759104 1772847 2101152 2363796 2638656 2801536 3151728 3545694 4202304 4727592 5277312 6303456 7091388 8404608 9455184 12606912 14182776 18910368 25213824 28365552 37820736 56731104 75641472 113462208 226924416